Hi, what do you want to do?
Khan Academy
Khan Academy: Linear Algebra: Eigenvalues of a 3x3 Matrix
Video reviewing the process of finding eigenvalues and then using that process to find the eigenvalues for a specific 3x3 matrix. Part of the process requires finding the determinant of a matrix and solving a cubic equation. [14:08]
Khan Academy
Khan Academy: Linear Algebra: Eigenvectors and Eigenspaces for a 3x3 Matrix
Video finding the eigenspace for the two eigenvalues for the specific 3x3 matrix from the previous video. Part of the process of solving requires finding a null space by getting a matrix into reduced row echelon form. The resulting two...
Khan Academy
Khan Academy: Linear Algebra: Finding Eigenvectors and Eigenspaces Example
Video defining eigenspace as the set of all the eigenvectors of a matrix with a specific eigenvalue. Finds the eigenspace for the two eigenvalues found in the previous video. Part of the process of solving requires finding a null space...
Khan Academy
Khan Academy: Linear Algebra: Why Eigenbases Make for Good Coordinate Systems
Video creating a basis out of n linearly independent eigenvectors. Reviews transformations and change of basis matrices. Shows that when the eigenbasis is used as an alternate coordinate system, the transformation is a diagonal matrix...
Khan Academy
Khan Academy: Linear Algebra: Introduction to Eigenvalues and Eigenvectors
Video defining eigenvectors as scaled vectors and eigenvalues as their scale value and explaining their significance. Video references the example from a previous video about changing coordinate systems to make finding the transformation...
Khan Academy
Khan Academy: Linear Algebra: Example Finding the Eigenvalues of a 2x2 Matrix
Video using the conclusion from the previous video to find the eigenvalues of a specific 2x2 matrix. Part of the process requires finding the determinant of a matrix and solving a quadratic equation. [5:39]
Khan Academy
Khan Academy: Linear Algebra: Proof of Formula for Determining Eigenvalues
Video beginning the process of finding eigenvectors and their eigenvalues by manipulating the equation for finding a transformation where the result is an eigenvector. Includes review of null space and linear independence and dependence...
Khan Academy
Khan Academy: Showing That an Eigenbasis Makes for Good Coordinate Systems
Video creating a basis out of n linearly independent eigenvectors. Reviews transformations and change of basis matrices. Shows that when the eigenbasis is used as an alternate coordinate system, the transformation is a diagonal matrix...
Khan Academy
Khan Academy: Eigen Everything: Introduction to Eigenvalues and Eigenvectors
Video defining eigenvectors as scaled vectors and eigenvalues as their scale value and explaining why they are interesting.
Khan Academy
Khan Academy: Example Solving for the Eigenvalues of a 2 X2 Matrix
A video solving for the eigenvalues of a 2x2 matrix.
Khan Academy
Khan Academy: Eigen Everything: Proof of Formula for Determining Eigenvalues
Proof of formula for determining Eigenvalues.